Solve 24(0.36)+c(0.12)=(24+c)(0.30)

$$24 ( 0.36 ) + c ( 0.12 ) = ( 24 + c ) ( 0.30 )$$

Solve for c

$$c=8$$

Steps for Solving Linear Equation

Multiply 24 and 0.36 to get 8.64.

$$8.64+c\times 0.12=\left(24+c\right)\times 0.3$$

Use the distributive property to multiply 24+c by 0.3.

$$8.64+c\times 0.12=7.2+0.3c$$

Subtract 0.3c from both sides.

$$8.64+c\times 0.12-0.3c=7.2$$

Combine c\times 0.12 and -0.3c to get -0.18c.

$$8.64-0.18c=7.2$$

Subtract 8.64 from both sides.

$$-0.18c=7.2-8.64$$

Subtract 8.64 from 7.2 to get -1.44.

$$-0.18c=-1.44$$

Divide both sides by -0.18.

$$c=\frac{-1.44}{-0.18}$$

Expand \frac{-1.44}{-0.18} by multiplying both numerator and the denominator by 100.

$$c=\frac{-144}{-18}$$

Divide -144 by -18 to get 8.

$$c=8$$